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Consider two diatomic ideal gases A &B a...

Consider two diatomic ideal gases A &B at some temperature T. Molecules of A rigid and have mass 2m. Molecules of B have vibrational modes in addition and have mass m.The ratio of the specific heats `( C_(v) ^(4) ` & ` C_(v) ^(B))` of gas A &B,if both the molecules have planar structure is `:`

A

`5/7`

B

`5/6`

C

`6/7`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:
A
`C_(v)=(f R)/(2)` (where the degree of freedom and R is the universal gas constant)
For A, diatomic molecules, `f=5`
For B, diatomic molecule, with vibration, `f=7`
`C_(v)^(A)=(5xxR)/(2)=(5R)/(2)," "C_(v)^(B)=(7xxR)/(2)=(7R)/(2) rArr (C_(v)^(A))/(C_(v)^(B))=5/7`
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